Exponential growth calculator

Exponential change multiplies by the same factor each period: populations, investments, bacteria and, with a negative rate, decay.

Your answer

Amount after growth1,967.1514
Doubling time10.245 periods
Total change96.72 %
Amount after each period
Show the numbers
Amount after each period
PeriodAmount
01,000
11,070
21,144.9
31,225.04
41,310.8
51,402.55
61,500.73
71,605.78
81,718.19
91,838.46
101,967.15

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How we worked it out

Updated as you change the numbers.

  1. Amount = 1,000 × (1 + 7%)^10.
  2. Doubling time = ln 2 ÷ ln(1 + rate). The rule of 72 (72 ÷ rate %) is a quick approximation.

Method and assumptions

Discrete compounding once per period. For continuous growth at rate k, use e^(kt), which this matches when the per-period rate is e^k − 1.

Questions

What does 1,000 grow to at 7% for 10 periods?

1,967.15. It doubles every 10.24 periods.

Sources

Method and figures checked on . Every worked answer on this page is covered by an automated test. Found a mistake? Tell us.

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